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Finding the Fourth Proportional to 124.50, 171.92 and 117.70

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Solution

The fourth proportional to 124.50, 171.92 and 117.70 is: 162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.50 : 171.92 = 117.70 : x
  2. Step 2: Convert to fraction form
    124.50/171.92 = 117.70/x
  3. Step 3: Cross multiply
    124.50x = 171.92 × 117.70
  4. Step 4: Simplify right side
    124.50x = 20,234.98
  5. Step 5: Solve for x
    x = 20,234.98/124.50
  6. Step 6: Final answer
    x = 162.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.